Answer:
The first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Step-by-step explanation:
Since Clara made two investments, and Investment A has an initial value of $ 500 and increases by $ 45 every year, while Investment B has an initial value of $ 300 and increases by 10% every year, and Clara checks the value of her investments once to year, at the end of the year, to determine what is the first year in which Clara sees that Investment B's value has exceeded investment A's value, the following calculation must be performed:
500 + (45 x X) = A
300 x 1.1 ^ X = B
A = 500 + 45 x 5 = 500 + 225 = 725
B = 300 x 1.1 ^ 5 = 483.15
A = 500 + 45 x 10 = 950
B = 300 x 1.1 ^ 10 = 778.12
A = 500 + 45 x 15 = 1175
B = 300 x 1.1 ^ 15 = 1253.17
A = 500 + 45 x 14 = 1,130
B = 300 x 1.1 ^ 14 = 1,139.25
Therefore, the first year in which Clara will see that Investment B's value will exceed Investment A's value will be year 14.
Answer:
Step-by-step explanation:
Answer:
Answer:
The table C correctly shows the ratio 8:1 for each grade
Step-by-step explanation:
Let
x ----> the number of students
y ----> the number of adults
we know that
<u><em>Verify each table</em></u>
Table A
grade 6
Multiply in cross
----> is not true
Table B
grade 6
Multiply in cross
----> is not true
Table C
<u><em>grade 6</em></u>
\frac{96}{12}=\frac{8}{1}
Multiply in cross
----> is true
<u><em>grade 7</em></u>
Multiply in cross
----> is true
<u><em>grade 8</em></u>
\frac{136}{17}=\frac{8}{1}
Multiply in cross
----> is true
therefore
The table C correctly shows the ratio 8:1 for each grade
Table D
<u><em>grade 6</em></u>
Multiply in cross
----> is not true
Answer:
-
Step-by-step explanation:
Given the 2 by 2 matrix
The determinant = ad - bc
For the given matrix
a = , b = , c = , d = , thus
ad - bc = × - ( × ) = - = -
The y-intercept is (0,-11), which is option C.